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Finding the Fourth Proportional to 297.81, 446.85 and 285.66

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Solution

The fourth proportional to 297.81, 446.85 and 285.66 is: 428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.81 : 446.85 = 285.66 : x
  2. Step 2: Convert to fraction form
    297.81/446.85 = 285.66/x
  3. Step 3: Cross multiply
    297.81x = 446.85 × 285.66
  4. Step 4: Simplify right side
    297.81x = 127,647.17
  5. Step 5: Solve for x
    x = 127,647.17/297.81
  6. Step 6: Final answer
    x = 428.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.